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Finding the Fourth Proportional to 626.37, 864.33 and 364.40

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Solution

The fourth proportional to 626.37, 864.33 and 364.40 is: 502.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.37 : 864.33 = 364.40 : x
  2. Step 2: Convert to fraction form
    626.37/864.33 = 364.40/x
  3. Step 3: Cross multiply
    626.37x = 864.33 × 364.40
  4. Step 4: Simplify right side
    626.37x = 314,961.85
  5. Step 5: Solve for x
    x = 314,961.85/626.37
  6. Step 6: Final answer
    x = 502.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.